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Finding the Third Proportional to 232,990 and 502,677

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Solution

The third proportional to 232,990 and 502,677 is: 1,084,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,990 : 502,677 = 502,677 : x
  2. Step 2: Convert to fraction form
    232,990/502,677 = 502,677/x
  3. Step 3: Cross multiply
    232,990x = 502,677 × 502,677
  4. Step 4: Simplify right side
    232,990x = 252,684,166,329
  5. Step 5: Solve for x
    x = 252,684,166,329/232,990
  6. Step 6: Final answer
    x = 1,084,527.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.